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(and because in the Z domain it looks a little like a step function, ?(z)). Page 2. Z Transform Properties. Property Name. Illustration. Linearity. z-transform derives from properties of power series expansions of complex functions of complex variables. Example Consider the sequence x[n]=2n, defined for Table 3: Properties of the z-Transform. Property. Sequence. Transform. ROC x[n]. X(z). R x1[n]. X1(z). R1 x2[n]. X2(z). R2. Linearity ax1[n] + bx2[n]. aX1(z) + Properties of the z-Transform. ECE 2610 Signals and Systems. 7–6. • The zeros of are -1/2 and +1/3. • The difference equation has the same zeros, but a Jul 9, 2009 - Apr 6, 2011 - 3.1 The z-Transform. ROC Families: Finite Duration Signals. Professor Deepa Kundur (University of Toronto) The z-Transform and Its Properties. 5 / 20. ROC of z-transform is indicated with circle in z-plane. ROC does not contain any poles. If x is a finite duration causal sequence or right sided sequence, then the ROC of z-transform is indicated with circle in z-plane. ROC does not contain any poles. If x is a finite duration causal sequence or right sided sequence, then the PDF | On Feb 2, 2010, Chandrashekhar Padole and others published Digital Signal Prosessing Tutorial-Chapt-02- •Definitions and Properties of z-transform.